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Students will be able to identify and apply
similar polygons
You can use ratios and proportions to
decide whether two polygons are similar
and to find unknown side lengths of similar
figures.
Have the same shape but not necessarily
the same size
Is similar to is abbreviated by ~ symbol
Two Polygons are similar if corresponding
angles are congruent and the
corresponding sides are proportional
Like congruence statements, the order
matters so if two figures are similar, their
corresponding parts should be in the same
order
If ΔABC ~ ΔDEG then <A ≅ <D
and AB ~ DE
Use when three or more ratios are equal
AB = BC = CD = AD
GH HI IJ GJ
Scale Factor: ratio of corresponding linear
measurements to two similar figures
(ratio of corresponding sides in simplest
form)
What are the pairs of congruent angles if
ΔABC ~ ΔRST?
What is the extended proportion for the
ratios of corresponding sides for ΔABC ~
ΔRST?
 ABCD ~ EFGD
 What is the value of
x?
 What is the value of
y?
Your class is making a poster for a rally.
The poster’s design is 6in. high by 10 in.
wide. The space allowed for the poster is
4 ft high by 8ft wide. What are the
dimensions for the largest poster that will
fit in the space?
What if the dimensions of the largest
space was 3 ft high by 4 ft wide?
All lengths are proportional to their
corresponding actual lengths
Scale: ratio that compares each length in
the scale drawing to the actual length
Where have you seen a scale?
The diagram shows a scale drawing of the
Golden Gate Bridge. The distance
between the two towers is the main span.
What is the actual length of the main span
of the bridge if it is 6.4 cm in the drawing?
Pg. 375
# 1 – 18, 21 – 28, 32
27 Problems

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Geo 7-2 Similar Polygons

  • 1.
  • 2. Students will be able to identify and apply similar polygons
  • 3. You can use ratios and proportions to decide whether two polygons are similar and to find unknown side lengths of similar figures.
  • 4. Have the same shape but not necessarily the same size Is similar to is abbreviated by ~ symbol Two Polygons are similar if corresponding angles are congruent and the corresponding sides are proportional
  • 5. Like congruence statements, the order matters so if two figures are similar, their corresponding parts should be in the same order If ΔABC ~ ΔDEG then <A ≅ <D and AB ~ DE
  • 6. Use when three or more ratios are equal AB = BC = CD = AD GH HI IJ GJ Scale Factor: ratio of corresponding linear measurements to two similar figures (ratio of corresponding sides in simplest form)
  • 7. What are the pairs of congruent angles if ΔABC ~ ΔRST? What is the extended proportion for the ratios of corresponding sides for ΔABC ~ ΔRST?
  • 8.
  • 9.
  • 10.
  • 11.  ABCD ~ EFGD  What is the value of x?  What is the value of y?
  • 12.
  • 13. Your class is making a poster for a rally. The poster’s design is 6in. high by 10 in. wide. The space allowed for the poster is 4 ft high by 8ft wide. What are the dimensions for the largest poster that will fit in the space? What if the dimensions of the largest space was 3 ft high by 4 ft wide?
  • 14.
  • 15. All lengths are proportional to their corresponding actual lengths Scale: ratio that compares each length in the scale drawing to the actual length Where have you seen a scale?
  • 16. The diagram shows a scale drawing of the Golden Gate Bridge. The distance between the two towers is the main span. What is the actual length of the main span of the bridge if it is 6.4 cm in the drawing?
  • 17. Pg. 375 # 1 – 18, 21 – 28, 32 27 Problems